LTW Content Shortcodes is a lightweight plugin that contains some useful shortcodes to enrich your content quick and easy.
Short and sweet: Yes.
Yes. Tabs will check if there is an id of the tag in the URL (added automatically when a tab is clicked) and will set that tab as active on page load even if you set a different tab as active in shortcode.
Yes. Include this shortcode attribute: onclick="alert('Button Was Clicked!');"
Yes. Set the shortcode attribute status="open".